ON LINEAR TOPOLOGICAL RIEZ SPACES WITHOUT CONVEXITY CONDITIONS

Stojan Radenovi\'c

Prirodno-matematicki fakultet, Kragujevac, Yugoslavia

Abstract: We consider whether the space associated with an l.t.R.s. ($E,C,t$) is l.t.R.s. We have shown that any $l$-ideal in an ultra-$DF$ (resp. countably quasibarrelled, locally topological, ultra-$b$-barrelled, ultra $D_b$) Riesz space is space of the same type with respect to the relative topology.